67560672 has 96 divisors (see below), whose sum is σ = 183738240. Its totient is φ = 21726720.

The previous prime is 67560643. The next prime is 67560679. The reversal of 67560672 is 27606576.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 67560672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67560679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485979 + ... + 486117.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 2^67560672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91869120).

67560672 is an abundant number, since it is smaller than the sum of its proper divisors (116177568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67560672 is a wasteful number, since it uses less digits than its factorization.

67560672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 67560672 is about 8219.5299135656. The cubic root of 67560672 is about 407.2845979166.

The spelling of 67560672 in words is "sixty-seven million, five hundred sixty thousand, six hundred seventy-two".